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Finding the Third Proportional to 134,844.75 and 293,017.50

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Solution

The third proportional to 134,844.75 and 293,017.50 is: 636,726.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,844.75 : 293,017.50 = 293,017.50 : x
  2. Step 2: Convert to fraction form
    134,844.75/293,017.50 = 293,017.50/x
  3. Step 3: Cross multiply
    134,844.75x = 293,017.50 × 293,017.50
  4. Step 4: Simplify right side
    134,844.75x = 85,859,255,306.25
  5. Step 5: Solve for x
    x = 85,859,255,306.25/134,844.75
  6. Step 6: Final answer
    x = 636,726.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.